Answer:
92°
Step-by-step explanation:
By exterior angle theorem:
![(2x - 2) \degree = x \degree + 45 \degree \\ \\ (2x - 2 - x) \degree = 45 \degree \\ \\ (x - 2) \degree = 45 \degree \\ \\ (x - 2) = 45 \\ \\ x = 45 + 2 \\ \\ x = 47 \\ \\ (2x - 2) \degree = (2 \times 47 - 2)\degree \\ \\ (2x - 2) \degree = (94 - 2)\degree \\ \\ (2x - 2) \degree = 92\degree \\ \\ measure \: of \: the \: exterior \: angle \\ = 92 \degree](https://tex.z-dn.net/?f=%282x%20-%202%29%20%5Cdegree%20%3D%20x%20%5Cdegree%20%2B%2045%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%282x%20-%202%20-%20x%29%20%5Cdegree%20%3D%2045%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%28x%20-%202%29%20%5Cdegree%20%3D%2045%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%28x%20-%202%29%20%20%3D%2045%20%5C%5C%20%20%5C%5C%20x%20%3D%2045%20%2B%202%20%5C%5C%20%20%5C%5C%20x%20%3D%2047%20%5C%5C%20%20%5C%5C%20%282x%20-%202%29%20%5Cdegree%20%20%3D%20%282%20%5Ctimes%2047%20-%202%29%5Cdegree%20%20%5C%5C%20%20%5C%5C%20%282x%20-%202%29%20%5Cdegree%20%20%3D%20%2894%20-%202%29%5Cdegree%20%20%20%5C%5C%20%20%5C%5C%20%282x%20-%202%29%20%5Cdegree%20%20%3D%2092%5Cdegree%20%20%20%5C%5C%20%20%5C%5C%20measure%20%20%5C%3A%20of%20%20%5C%3A%20the%20%20%5C%3A%20exterior%20%5C%3A%20%20angle%20%5C%5C%20%20%3D%2092%20%5Cdegree)
Answer:
A. {16}
Step-by-step explanation:
1/4 = x^-1/2
We have the exponent rule a^-1 = 1/a^1
Applying the rule, we get
1/4 = 1/x^1/2
x^1/2 = √x
1/4 = 1/√x
Now let's cross multiplying, we get
√x = 4
Taking square on both sides, we get
x = 16
The answer: A. {16}
Hope this will helpful.
Thank you.
The 3rd illustration from the left would be your answer.. You can see the quadrilateral is a trapezoid having the one pair of parallel sides constructed.
Answer:
1900 = k
Step-by-step explanation:
38=k/50
Multiply each side by 50
50 *38 = k/50 *50
1900 = k
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